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Reptile [31]
3 years ago
11

The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state. The size of the

largest county is 48 times the size of the smallest county plus one square mile. How large is the smallest county in the state of Texas ?
Mathematics
1 answer:
Ann [662]3 years ago
7 0

The smallest county is 129 square miles large.

Step-by-step explanation:

Let,

Smallest county = x

Largest county = y

According to given statement;

The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.

y = x+6064     Eqn 1

The size of the largest county is 48 times the size of the smallest county plus one square mile.

y = 48x+1         Eqn 2

As Eqn 1 and Eqn 2 are both equal to y, therefore,

Eqn 1 = Eqn 2

x+6064=48x+1\\6064-1=48x-x\\6063=47x\\47x=6063

Dividing both sides by 47

\frac{47x}{47}=\frac{6063}{47}\\x=129\ square \ miles

The smallest county is 129 square miles large.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/9328925
  • brainly.com/question/9184197

#LearnwithBrainly

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